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Finding the Fourth Proportional to 1,602.81, 2,212.97 and 1,005.55

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Solution

The fourth proportional to 1,602.81, 2,212.97 and 1,005.55 is: 1,388.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.81 : 2,212.97 = 1,005.55 : x
  2. Step 2: Convert to fraction form
    1,602.81/2,212.97 = 1,005.55/x
  3. Step 3: Cross multiply
    1,602.81x = 2,212.97 × 1,005.55
  4. Step 4: Simplify right side
    1,602.81x = 2,225,241.42
  5. Step 5: Solve for x
    x = 2,225,241.42/1,602.81
  6. Step 6: Final answer
    x = 1,388.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.